Atkin-Lehner |
2+ 3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810bh |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
191583736482600 = 23 · 316 · 52 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25695,1445125] |
[a1,a2,a3,a4,a6] |
Generators |
[5:1145:1] |
Generators of the group modulo torsion |
j |
2573662277959921/262803479400 |
j-invariant |
L |
3.8333975583856 |
L(r)(E,1)/r! |
Ω |
0.55021252352148 |
Real period |
R |
1.7417803961257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025292 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cf2 |
Quadratic twists by: -3 |